Question

Find the length of RS. A. 40 units B. 8 units C. About 6.3 units D. About 2.8 units

Answer 1

Given:

The two points on the graph are R(-2,-4) and S(-8,-6).

To find:

The length of RS.

Solution:

Distance formula: The distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, the distance between R(-2,-4) and S(-8,-6) is

$d=\sqrt{(-8-(-2))^2+(-6-(-4))^2}$

$d=\sqrt{(-8+2)^2+(-6+4)^2}$

$d=\sqrt{(-6)^2+(-2)^2}$

$d=\sqrt{36+4}$

On further simplification, we get

$d=\sqrt{40}$

$d=6.32455532$

$d\approx 6.3$

Therefore, the length of AB is about 6.3 units. So, the correct option is C.